| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
|---|
| abbbcde |
0 | 0 | 0 | 25000 |
|---|
| adcebbb |
0 | 0 | 0 | 25000 |
|---|
| abdcebb |
0 | 0 | 0 | 25000 |
|---|
| abbdceb |
0 | 0 | 0 | 25000 |
|---|
| acedbbb |
0 | 0 | 0 | 25000 |
|---|
| abcedbb |
0 | 0 | 0 | 25000 |
|---|
| abbcedb |
0 | 0 | 0 | 25000 |
|---|
| abbbced |
0 | 0 | 0 | 25000 |
|---|
| abbbdce |
0 | 0 | 0 | 25000 |
|---|
| abedcbb |
0 | 0 | 0 | 25000 |
|---|
| abbedcb |
0 | 0 | 0 | 25000 |
|---|
| acdebbb |
0 | 0 | 0 | 25000 |
|---|
| abcebbd |
0 | 52 | 10474 | 14474 |
|---|
| acebbdb |
0 | 55 | 9973 | 14972 |
|---|
| abdbbce |
0 | 76 | 10729 | 14195 |
|---|
| adbbceb |
0 | 88 | 10414 | 14498 |
|---|
| adbbbce |
0 | 1966 | 5363 | 17671 |
|---|
| acebdbb |
0 | 2092 | 6142 | 16766 |
|---|
| acebbbd |
0 | 2104 | 7064 | 15832 |
|---|
| adbcebb |
0 | 2170 | 6160 | 16670 |
|---|
| abdbceb |
0 | 2271 | 6211 | 16518 |
|---|
| abcebdb |
0 | 2275 | 6081 | 16644 |
|---|
| acbbdeb |
0 | 2397 | 13456 | 9147 |
|---|
| aebbdcb |
0 | 2397 | 13456 | 9147 |
|---|
| acbbedb |
0 | 2400 | 13006 | 9594 |
|---|
| abbcebd |
0 | 2408 | 5812 | 16780 |
|---|
| abbdbce |
0 | 2412 | 6077 | 16511 |
|---|
| adcbbeb |
0 | 2560 | 13737 | 8703 |
|---|
| acdbbeb |
0 | 2589 | 13616 | 8795 |
|---|
| abcbbde |
0 | 2600 | 12829 | 9571 |
|---|
| abcbbed |
0 | 2741 | 12812 | 9447 |
|---|
| abdcbbe |
0 | 2957 | 12937 | 9106 |
|---|
| acbbbed |
0 | 3559 | 8885 | 12556 |
|---|
| aebdcbb |
0 | 3883 | 9700 | 11417 |
|---|
| acbdebb |
0 | 3883 | 9700 | 11417 |
|---|
| aedbcbb |
0 | 3947 | 10064 | 10989 |
|---|
| acdbebb |
0 | 3947 | 10064 | 10989 |
|---|
| abcbdeb |
0 | 4047 | 9660 | 11293 |
|---|
| abebdcb |
0 | 4047 | 9660 | 11293 |
|---|
| adcbbbe |
0 | 4060 | 10052 | 10888 |
|---|
| acbbebd |
21 | 2230 | 14575 | 8174 |
|---|
| adbcbbe |
28 | 2664 | 14561 | 7747 |
|---|
| acbdbeb |
29 | 2345 | 15119 | 7507 |
|---|
| abcbdbe |
43 | 2399 | 14048 | 8510 |
|---|
| acbbbde |
973 | 4576 | 9226 | 10225 |
|---|
| abcbedb |
1099 | 5248 | 10046 | 8607 |
|---|
| acdbbbe |
1130 | 5103 | 10456 | 8311 |
|---|
| acbedbb |
1159 | 4817 | 9874 | 9150 |
|---|
| abbdcbe |
1185 | 5711 | 9337 | 8767 |
|---|
| adcbebb |
1191 | 5382 | 9815 | 8612 |
|---|
| abbcbed |
1209 | 5500 | 9413 | 8878 |
|---|
| abdcbeb |
1303 | 5533 | 9725 | 8439 |
|---|
| acbbdbe |
3115 | 5467 | 8904 | 7514 |
|---|
| acbdbbe |
3158 | 5306 | 8699 | 7837 |
|---|
| acbebbd |
3436 | 5204 | 9174 | 7186 |
|---|
| acbebdb |
3452 | 4944 | 9510 | 7094 |
|---|
| abcbebd |
3526 | 5717 | 8885 | 6872 |
|---|
| adbcbeb |
3787 | 5652 | 8888 | 6673 |
|---|
| adbbcbe |
3823 | 5525 | 8804 | 6848 |
|---|
| abdbcbe |
3937 | 5710 | 8258 | 7095 |
|---|
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3;5) |
(X )4(Y )2Y
| 7 |
| Fl(1,2,3;5) |
W (X)3(Y)2Y
| |
| Fl(2,3,4;5) |
(X)4YYZ
| |
|
|
(X
)3Y
Y
Z
= 7 on Fl(1,2,3,4;5)
